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2022142412202 = 23112101122322549
BaseRepresentation
bin11101011011010001000…
…101001000010110101010
321011022111120200221020220
4131123101011020112222
5231112321424142302
64144543121430510
7266044400621463
oct35332105102652
97138446627226
102022142412202
1170a649746900
12287aa349b436
131188c1a59623
146dc2d501d6a
1537901d8c4bc
hex1d6d11485aa

2022142412202 has 96 divisors (see below), whose sum is σ = 4493254550400. Its totient is φ = 606180432000.

The previous prime is 2022142412201. The next prime is 2022142412309.

2022142412202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20221424122022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2022142412201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89666424 + ... + 89688972.

It is an arithmetic number, because the mean of its divisors is an integer number (46804734900).

Almost surely, 22022142412202 is an apocalyptic number.

2022142412202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022142412202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246627275200).

2022142412202 is an abundant number, since it is smaller than the sum of its proper divisors (2471112138198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022142412202 is a wasteful number, since it uses less digits than its factorization.

2022142412202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23900 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 2022142412202 in words is "two trillion, twenty-two billion, one hundred forty-two million, four hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 1223 2222 2446 3333 3669 6666 7338 12221 13453 22549 24442 26906 36663 40359 45098 67647 73326 80718 123523 135294 147983 247046 248039 295966 370569 443949 496078 741138 744117 887898 1358753 1488234 2277449 2717506 2728429 4076259 4554898 5456858 6832347 8152518 8185287 13664694 14946283 16370574 25051939 27577427 29892566 44838849 50103878 55154854 75155817 82732281 89677698 150311634 165464562 275571329 303351697 551142658 606703394 826713987 910055091 1653427974 1820110182 2785320127 3336868667 5570640254 6673737334 8355960381 10010606001 16711920762 20021212002 30638521397 61277042794 91915564191 183831128382 337023735367 674047470734 1011071206101 2022142412202